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Statements

Subject Item
n2:RIV%2F68407700%3A21340%2F12%3A00202261%21RIV13-MSM-21340___
rdf:type
skos:Concept n13:Vysledek
dcterms:description
We consider a compact semisimple Lie group together with its corresponding affine Weyl group. There are two cases of even affine Weyl subgroups. In the first case, given two positive integers M-1, M-2, we introduce a finite set of lattice points F-M1(e),(M2); similar lattice set F-M(e) is also constructed in the second case. Each even affine Weyl group then determines the symmetry of its corresponding lattice set as well as one type of E-function. We review the construction of maximal sets of pairwise orthogonal E-functions over the lattice grids. The entire construction of E-functions, discrete lattices and sets, discrete transforms and their application to interpolation is demonstrated for the case of the group SU(3) x SU(3). We consider a compact semisimple Lie group together with its corresponding affine Weyl group. There are two cases of even affine Weyl subgroups. In the first case, given two positive integers M-1, M-2, we introduce a finite set of lattice points F-M1(e),(M2); similar lattice set F-M(e) is also constructed in the second case. Each even affine Weyl group then determines the symmetry of its corresponding lattice set as well as one type of E-function. We review the construction of maximal sets of pairwise orthogonal E-functions over the lattice grids. The entire construction of E-functions, discrete lattices and sets, discrete transforms and their application to interpolation is demonstrated for the case of the group SU(3) x SU(3).
dcterms:title
Two types of E-discretization of tori of compact semisimple Lie groups Two types of E-discretization of tori of compact semisimple Lie groups
skos:prefLabel
Two types of E-discretization of tori of compact semisimple Lie groups Two types of E-discretization of tori of compact semisimple Lie groups
skos:notation
RIV/68407700:21340/12:00202261!RIV13-MSM-21340___
n13:predkladatel
n14:orjk%3A21340
n4:aktivita
n9:Z
n4:aktivity
Z(MSM6840770039)
n4:cisloPeriodika
1
n4:dodaniDat
n18:2013
n4:domaciTvurceVysledku
n15:1785621
n4:druhVysledku
n20:J
n4:duvernostUdaju
n7:S
n4:entitaPredkladatele
n6:predkladatel
n4:idSjednocenehoVysledku
175485
n4:idVysledku
RIV/68407700:21340/12:00202261
n4:jazykVysledku
n16:eng
n4:klicovaSlova
special functions; discrete orthogonality; semisimple Lie groups
n4:klicoveSlovo
n5:discrete%20orthogonality n5:special%20functions n5:semisimple%20Lie%20groups
n4:kodStatuVydavatele
GB - Spojené království Velké Británie a Severního Irska
n4:kontrolniKodProRIV
[1895D10FF8B8]
n4:nazevZdroje
Journal of Physics: Conference Series
n4:obor
n8:BE
n4:pocetDomacichTvurcuVysledku
1
n4:pocetTvurcuVysledku
1
n4:rokUplatneniVysledku
n18:2012
n4:svazekPeriodika
343
n4:tvurceVysledku
Hrivnák, Jiří
n4:wos
000301174100045
n4:zamer
n19:MSM6840770039
s:issn
1742-6588
s:numberOfPages
8
n12:doi
10.1088/1742-6596/343/1/012046
n3:organizacniJednotka
21340